Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Solving Compound Inequalities
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Exercise 24 Page 86

With what heights do the offered ski lengths correspond?

Compound Inequality: 1.16x<150 or 1.16x>220
Solution: x<129.4 or x>189.7

Practice makes perfect
We are given that the store sells skis with length ranging from 150 centimeters to 220 centimeters. It is also recommended that the length of the skis should be 1.16 times the height of the skier. If we let x represent the height of a skier, we can write an expression for the recommended length of their skis. 1.16x Since skis with lengths less than 150 or greater than 220 are not offered, we can write a compound inequality for the lengths that are not provided. 1.16x< 150 or 1.16x >220 Let's solve each inequality separately.
1.16x < 150
â–Ľ
Solve for x
x < 150/1.16
x < 129.310344...
x < 129.4
Skiers with heights less than 129.4 centimeters cannot obtain skis from this shop.
1.16x > 220
â–Ľ
Solve for x
x > 220/1.16
x > 189.655172...
x > 189.6
Also, skiers with heights greater than 189.7 centimeters cannot obtain skis from this shop.